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\begin{document}

\title{Elements of $K_2$ group of a families of hyperelliptic curves}

\author{Hang Liu}
\address{School of Mathematical Sciences\\Univeisity of Chinese Academy of Sciences\\Beijing 10049\\China}

\author{Guoping Tang}
\address{School of Mathematical Sciences\\Univeisity of Chinese Academy of Sciences\\Beijing 10049\\China}


\begin{abstract}
We construct a family of hyperelliptic algebraic curves over $\mathbb{Q}$ of arbitrary genus $g$ with $g$ integral elements in $K_2$. We show that these elements are independent in general by calculating the limit of the regulator of these elements.
\end{abstract}


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\end{document}

